document.write( "Question 723156: A plane travels 100 mph in still air. It travels 240 miles into the wind and
\n" ); document.write( "240 miles with the wind in a total time of 5 hours. Find the wind speed.
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Algebra.Com's Answer #443065 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+w+\" = the wind speed in mi/hr
\n" ); document.write( "\"+100+%2B+w+\" = the plane's speed going with the wind in mi/hr
\n" ); document.write( "\"+100+-+w+\" = the plane's speed going against the wind in mi/hr
\n" ); document.write( "Let \"+t+\" = plane's time going against the wind in hrs
\n" ); document.write( "\"+5+-+t+\" = planes time going with the wind in hrs
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\n" ); document.write( "Equation going against the wind:
\n" ); document.write( "(1) \"+240+=+%28+100+-+w+%29%2At+\"
\n" ); document.write( "Equation going with the wind:
\n" ); document.write( "(2) \"+240+=+%28+100+%2B+w+%29%2A%28+5+-+t+%29+\"
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\n" ); document.write( "(2) \"+240+=+500+%2B+5w+-+100t+-+w%2At+\"
\n" ); document.write( "(2) \"+w%2At+%2B+100t+-+5w+=+260+\"
\n" ); document.write( "(2) \"+t%2A%28+100+%2B+w+%29+=+260+%2B+5w+\"
\n" ); document.write( "and,
\n" ); document.write( "(1) \"+240+=+%28+100+-+w+%29%2At+\"
\n" ); document.write( "(1) \"+t+=+240+%2F+%28+100+-+w+%29+\"
\n" ); document.write( "Substitute this result into (2)
\n" ); document.write( "(2) \"++%28240+%2F+%28+100+-+w+%29%29+%2A%28+100+%2B+w+%29+=+260+%2B+5w+\"
\n" ); document.write( "(2) \"+240%2A%28+100+%2B+w+%29+=+%28+260+%2B+5w+%29%2A%28+100+-+w+%29+\"
\n" ); document.write( "(2) \"+24000+%2B+240w+=+26000+%2B+500w+-+260w+-+5w%5E2+\"
\n" ); document.write( "(2) \"+5w%5E2+=+2000+\"
\n" ); document.write( "(2) \"+w%5E2+=+400+\"
\n" ); document.write( "(2) \"+w+=+20+\"
\n" ); document.write( "The wind speed is 20 mi/hr
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\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+240+=+%28+100+-+w+%29%2At+\"
\n" ); document.write( "(1) \"+240+=+%28+100+-+20+%29%2At+\"
\n" ); document.write( "(1) \"+240+=+80t+\"
\n" ); document.write( "(1) \"+t+=+3+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+240+=+%28+100+%2B+w+%29%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+240+=+%28+100+%2B+20+%29%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+240+%2F+120+=+5+-+t+\"
\n" ); document.write( "(2) \"+2+=+5+-+t+\"
\n" ); document.write( "(2) \"+t+=+3+\" hrs
\n" ); document.write( "OK\r
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